graphing rational functions

There is no hole (POD) if you can't factor or cancel something.

• True

• False

• A
• B
• C
• D

What is the horizontal asymptote to this function?

• y=4
• y=0
• y=-2
• y=1

What (if any) holes exist?

• x=2

• x=2 and x=3

• x=-3

• x=3

What is/are the vertical asymptote(s)?

• x=-2
• x=2 and x=3
• x=-3
• x=3

What are the asymptotes?

• x = -1         y = -3
• x = 1          y = -3
• x = -1         y = 3
• x = 1          y = 3

Select ALL the information that applies to the given rational function.  $f\left(x\right)=\frac{x+3}{-3x+6}$  

• Vertical Asymptote at x = 2

• No Holes

• Horizontal Asymptote at y = -1/3

• y-intercepts at (0, 1/2)

"Holes" have another name.

• True

• False

Graph the function.

 $f\left(x\right)=\frac{-x+1}{x-4}$  

• 
• 
• 
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What is the Vertical Asymptotes? 

• x= -5
• x= 5
• x= 6
• x= -6